Answer: the required system of equations are
x + y = 6
6x + 5y = 35
Step-by-step explanation:
Let x represent the number of hours spent cleaning and y represent the number of hours spent raking leaves.
There are 6 hours available before Sydney's father's birthday party where she can either clean or rake leaves. It means that
x + y = 6
Sydney needs to earn $35 so she can buy her father a birthday present. Her mom said she can make $6 per hour cleaning around the house and $5 per hour raking leaves. This means that
6x + 5y = 35
Final answer:
To find the system of equations, we assign variables to the number of hours spent cleaning and raking leaves. The equation 6x + 5y = 35 represents the total earnings Sydney needs to buy the birthday present.
Explanation:
To find the system of equations that can be used to find how many hours Sydney should spend cleaning and raking leaves, we need to consider the amount of money Sydney can earn per hour for each task. Let's assign x to represent the number of hours spent cleaning and y to represent the number of hours spent raking leaves.
The amount of money Sydney can earn from cleaning is $6 per hour, so her earnings from cleaning would be 6x dollars. Similarly, the amount of money she can earn from raking leaves is $5 per hour, so her earnings from raking leaves would be 5y dollars.
Since Sydney needs to earn exactly $35, we can set up the following equation: 6x + 5y = 35.
Therefore, the system of equations that can be used to find how many hours Sydney should spend cleaning and raking leaves is:
6x + 5y = 35.
Find the inner product for (8,4)(2,4)and state whether the vectors are perpendicular.
a.
8; no
c.
32; no
b.
8; yes
d.
32; yes
Please select the best answer from the choices provided
A
B
C
D
The inner product of vectors (8,4) and (2,4) is 32, and since the dot product is not zero, the vectors are not perpendicular.
The inner product (also known as the dot product) of two vectors can be calculated by multiplying the corresponding components of the vectors and then summing those products. For the vectors (8,4) and (2,4), the inner product is calculated as (8 × 2) + (4 × 4), which equals 16 + 16, and thus the inner product is 32.
To determine if the vectors are perpendicular, we need to check if their dot product is zero. In this case, since the dot product is 32, not zero, the vectors are not perpendicular to each other.
Therefore, the correct answer is C: 32; no.
Bivariate data is data for two, usually related, variables. Each value of one variable is paired with a value of the other, for example, the height and shoe size of each student in a high school class. Bivariate data can be plotted on a coordinate plane called a scatter plot. A scatter plot’s x-axis represents one variable, and its y-axis represents the other. By plotting each data pair on a scatter plot, we can visualize the relationship between variables. Scatter plots help us understand whether or not something like height and shoe size are related. Scatter plots also help us identify outliers and clustering in a set of bivariate data. Outliers are values that are much larger or smaller than most other values in a data set. On a scatter plot, outliers are easy to spot since they appear well above or below most other plotted points. Clustering becomes apparent when points are bunched close together. This tells us something about how common a particular range of values is.
Answer:Average gas price at a local gas station.
Step-by-step explanation:
Bivariate data consists of pairs of related variables and is visualized using a scatter plot. Scatter plots help identify relationships between variables, as well as outliers and clusters within the data.
Explanation:Bivariate data refers to data that consists of pairs of variables, for example, the height and shoe size of students. Each pair of data is connected, which represents a specific point in the data set. When presented on a scatter plot, bivariate data gives a visual representation of the relationship between these two variables. The x-axis of a scatter plot indicates one variable and the y-axis represents the other.
Scatter plots give us the ability to identify both the existence of relationships between variables and the presence of outliers, which are values significantly larger or smaller than the other values in the data set. These outliers are easy to spot on a scatter plot as they are often far removed from the other plotted points. Scatter plots also help to identify clusters, which is when data points are grouped closely together, indicating a common range of values for the variables.
Learn more about Bivariate data here:https://brainly.com/question/32207717
#SPJ6
A scientist studies a pod of humpback whales to determine the
migration of humpback whales. What is the population?
A. all whales
B. a pod of humpback whales
C. killer whales
D. all humpback whales
Final answer:
In biology, the population refers to all individuals of a species in an area. For the humpback whale study, the population is the specific pod of whales being studied, not all whales or humpback whales in general. This aligns with population ecology principles.
Explanation:
The population in a biology context refers to all the members of a single species living in a particular area. In the given scenario where a scientist studies a pod of humpback whales to determine the migration of humpback whales, the correct answer would be B. a pod of humpback whales. This is because the scientist is studying a specific group of humpback whales, which constitutes a population within the larger population ecology context of all humpback whales.
Population ecology is a field that focuses on the number of individuals of one species in an area and how and why that number changes over time. It helps in understanding different aspects of species like their migration patterns, social structures, and interaction with the environment. A pod of humpback whales would be considered a distinct population if they are living together in the same space and are interbreeding, as per the definition of a population in this biological field.
Find the line that best fits. Note that values have been rounded.
A) y=0.7x+5.2
B) y=0.7x-5.2
C) y=0.07+5.2
D) y=0.07-5.2
Answer:the answer is a
Step-by-step explanation:
What is the answer to 1/7÷3
1/7 divided by 3 can be written as:
1 3
---- ÷ ---- =
7 1
You need to do the reciprocal of 3 so that gives you 1/3.
1 1
---- ÷ ---- =
7 3
Then multiply numerator with numerator and denominator with denominator.
1 1 1
---- ÷ ---- = --------
7 3 21
Your final answer is 1/21.
In the square pyramid below, a = 12 ft and b = 10 ft.
What is the surface area of the square pyramid?
340 square feet
420 square feet
480 square feet
580 square feet
Square Pyramid
Hence , the surface area of the square pyramid is 340 square feet
Step-by-step explanation:
The square pyramid has a square base
Given that the base side is 10 ft and the slant height of the pyramid is 12 ft.
The surface area of a square pyramid is SA, then
SA = Area of the base + [tex]\frac{1}{2}[/tex] × P × Sh
where P is the perimeter of the base and Sh is the slant height of the pyramid
P = 4 × 10
SA = [tex]10^{2} + \frac{1}{2}[/tex]× 40 × 12
SA = 100 + 240
SA= 340 square feet
Hence , the surface area of the square pyramid is 340 square feet
Find the perimeter of the figure. Show all work (formulas, plugged in values, math calculations) for full credit. PLEASE HELP DO IN AN HOUR
Answer:
Step-by-step explanation:
Semicircle:
diameter = length of the rectangle = 25 cm
Half circumference = πd/2
= 3.14 * 25/2 = 39.25 cm
Perimeter of the figure = 39.25 + 20 + 25 + 20
= 104.25 cm
Answer:
104.25 cm
Step-by-step explanation:
Perimeter = three sides + arc
Arc length: ½ × pi × diameter
½ × 3.14 × 25
39.25
Perimeter
39.25 + 20 + 25 + 20
104.25
Truck A delivers 228 tons of sand in 12 days. Truck B averages delivering 21 tons each day. 1) How many tons of sand does Truck A average delivering on each day?
Step-by-step explanation:
track a averagely delivers 19 tonnes of sand per day
Answer:
19 tons of sand.
Step-by-step explanation:
228/12= /1
228/12= 19
What is the volume of the eraser?
4 cm
24 cm3
52 cm2
52 cm3
I need this awnsered asap pls
Answer:
Answer 3
Step-by-step explanation:
smog is fog or haze combined with smoke and other air pollutants
smog is formed when sunlight hits these air pollutants
Need some help please
Answer:
90^
Step-by-step explanation:
Answer: 0
Step-by-step explanation: Look at where y is -2 and the you can see the coordinate is 0 because it hits the y axis at 0.
This confuses me.
Find the table values for y=x^3+x^2-6x
(Absolute value of 12 - 20) - (27/3 + 11) ^2
Answer:
the answer is 400-8=394.
Step-by-step explanation:
Jamie paid the rent well past the due date for the months of April, May and June. As a result, he had been charged a total of $75 as late fee. How much did he pay as late fee per month?
Jamie paid $25 as a late fee per month. Hence, the final answer is $25 per month.
Explanation:To find out how much Jamie paid as a late fee per month, we first need to determine how many months he was charged for and then divide the total late fee by that number.
In this case, he was charged for the three months of April, May, and June, so there were 3 months.
The total late fee was $75, so to find out how much he paid per month, we divide the total late fee by the number of months: $75 / 3 = $25 per month.
Learn more about Late fee per month here:https://brainly.com/question/33465418
#SPJ3
What is 8 times 10 to the power of 24 divided by 2 times 10 to the power of 18? WILL GIVE BRAINLIEST!!!!!
What is the expanded form of this number?
18.029
(1×10)+(8×1)+(2×1100)+(9×1100)
(1×10)+(8×1)+(2×110)+(9×11,000)
(1×10)+(8×1)+(2×110)+(9×1100)
(1×10)+(8×1)+(2×1100)+(9×11,0
(1×10)+(8×1)+(2×110)+(9×1100)
help please!! i’ll reward branliest, 50 points
Answer:
Madeline: y=1x+9
Issac: y=2x+1
x=8, y=17
Step-by-step explanation:
Solving for X:
Multiply Issac's by -1:
y= 1x+ 9
-y=-2x-1
Combine:
0=-x+8
Add x to both sides:
x=8
Solving for Y:
Since we already have x, we only need to input the x value into one of the formulas:
y=1(8)+9
Simplify parenthesis with multiplication:
y=8+9
Add:
y=17
If you feel unsure, check your work with both equations:
(17)=2(8)+1
17=16+1
17=17=Good
(17)=1(8)+9
17=8+9
17=17=Good
Please give a brainliest and a thx ;)
I hope this helps u :)
The zeros of a parabola are -5 and -3. The point (0, 60) is on the graph as represented by the equation.
60=a(0+5)(0+3)
What is the value of a?
−7.5
−4
4
7.5
Answer:
a=4
Step-by-step explanation:
60=a(0+5)(0+3)
We can simplify this equation
60 = a (5) (3)
60 = a(15)
Divide each side by 15
60/15 = 15a/15
4 =a
Answer:
C) 4
Step-by-step explanation:
60=a(0+5)(0+3)
60 = a(5)(3)
60 = 15a
a = 60/15
a = 4
A cafeteria used 5 gallons of milk in preparing lunch how many one – quart containers of milk did the cafeteria you
Answer:
20 quarts
Step-by-step explanation:
there is 4 quarts in one gallon therefore there is 5 times one gallon.
5*4=20
Answer:
20 quarts
because there are 4 quarts in one gallon
hope this helps :)
The square of a positive number increased by twice the number equals three. Find the number
Answer:
1
Step-by-step explanation:
Let the number be x
x² + 2x = 3
x² + 2x - 3 = 0
Product = -3
Sum =2
Factors = 3 * (-1)
x² + 3x - x - 3 = 0
x*(x+3) - (x + 3) = 0
(x + 3)(x - 1) = 0
Ignore x + 3 because the number is a positive number
x - 1 = 0
x = 1
The number is 1
Please help me solve the equation
2c + 5 = 11 + 4a
Factor then solve to find the complex solutions
c=2a+3
Answer:
c = 2a + 3
Step-by-step explanation:
2c + 5 = 11 + 4a
2c = 4a + 11 - 5
2c = 4a + 6
c = 4a/2 + 6/2
c = 2a + 3
*free 30 points*
what is [tex](30*60)-15(10)[/tex]
there are 57 chips numbered from 1 to 57 placed in a barrel. One Chip is randomly pulled from the barrel. What is the probability that the number is on the chip is greater than or equal to 43
Diameter: 10 centimeters; height: 14 centimeters
Are you looking for a radius?
The dot plot represents the amount of rain recorded by rain gauges in different locations around a city. A number line going from 0.25 to 2.75. 0 dots are above 0.25. 3 dots are above 0.5. 1 dot is above 0.75. 3 dots are above 1. 0 dots are above 1.25. 1 dot is above 1.5. 2 dots are above 1.75. 3 dots are above 2. 2 dots are above 2.25. 1 dot is above 2.5. 0 dots are above 2.75. How many rain gauges recorded rainfall? 2 8 11 16
Answer:
16
Step-by-step explanation:
Based on the dot plot given on the rain gauges, the number of rain gauges that recorded rainfall must be 16.
What number of rain gauges recorded rainfall?Looking at the dot plot, the gauges that recorded rainfall would be those that have rainwater that is above 0.
The total number of these are:
= 3 + 1 + 3 + 1 + 2 + 3 + 2 + 1
= 16 rain gauges
In conclusion, option D is correct.
Find out more on rain gauges at https://brainly.com/question/23819435.
#SPJ5
In the triangle below, Four-fifths represents which ratio?
Right triangle A B C is shown. Side A B has a length of 4, side B C has a length of 5, and side A C has a length of 3.
sinC
sinB
cosC
tanB
Answer:
(A) [tex]sin C =\frac{4}{5}[/tex]
Step-by-step explanation:
Opposite,AB = 4,
Hypotenuse,BC = 5
Adjacent, AC = 3.
[tex]sin \theta =\frac{opposite}{Hypotenuse}\\ sin C =\frac{4}{5}[/tex]
The value of sin C, sin B, cos C, and tan B will be 4/5, 3/5, 3/5, and 3/4.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Right triangle ABC is shown. Side AB has a length of 4, side BC has a length of 5, and side AC has a length of 3.
Then the value of the sin C, sin B, cos C, and tan B will be
sin C = 4/5
sin B = 3/5
cos C = 3/5
tan B = 3/4
The diagram is given below.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ5
Write 17/25 as a percent
Answer:
68%
Step-by-step explanation:
Times both the top and bottom number by 4.
Answer:
Step-by-step explanation:
[tex]\frac{17}{25}*100=17*4[/tex]
= 68%
A ride at a carnival moves on a circular path with diameter 80ft. What is the approximate distance of one complete loop?
5 points
The temperature dropped 4 °F every hour for 5 hours. What was the total number of degrees the temperature changed in the 5 hours?
Answer:
dropped 20°F
Step-by-step explanation:
dropped 4°F = 1 hour
x 5
dropped 20°F= 5 hours
This is urgent, please answer!
The diagram shows the dimensions of a pool cover for a hotel pool.
Write and solve and equation to find the area of the pool cover.
Answer:
1035
Step-by-step explanation:
(10x7.5)+(20x45)+(8x7.5)will give you the area